W-Curves in Lorentz-Minkowski Space

Year 2017, Volume: 5 Issue: 2, 76 - 88, 30.10.2017

Emre Öztürk , Yusuf Yaylı

https://doi.org/10.36753/mathenot.421740

Cited By: 5

Abstract

In this paper, we investigate the chord properties of the non-null W-curves in Lorentz-Minkowski space.
We give the general equation form for W-curves in (2n+1)-dimension. We define some special curves and
give the relations between these curves and isoparametric surfaces. Finally we obtain the geodesics of the
pseudospherical cylinder and pseudohyperbolic cylinder in 4-dimensional space.

Keywords

W-curve, isoparametric surface, Lorentz-Minkowski space

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